112465332 has 144 divisors (see below), whose sum is σ = 347343360. Its totient is φ = 29968704.

The previous prime is 112465307. The next prime is 112465343. The reversal of 112465332 is 233564211.

112465332 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 653 + 3 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 112465296 and 112465305.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 397263 + ... + 397545.

Almost surely, 2^112465332 is an apocalyptic number.

112465332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112465332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173671680).

112465332 is an abundant number, since it is smaller than the sum of its proper divisors (234878028).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

112465332 is a wasteful number, since it uses less digits than its factorization.

112465332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 402 (or 397 counting only the distinct ones).

The product of its digits is 4320, while the sum is 27.

The square root of 112465332 is about 10604.9673266823. The cubic root of 112465332 is about 482.6950996735.

The spelling of 112465332 in words is "one hundred twelve million, four hundred sixty-five thousand, three hundred thirty-two".